In this paper, the consistency for the estimators of the survival function and failure rate function in reliability theory is investigated. The strong consistency and the convergence rate for the estimators of the survival function and failure rate function based on widely orthant dependent (WOD, in short) samples are established. Our results established in the paper generalize the corresponding ones for independent samples and some negatively dependent samples.

中文翻译：

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基于WOD样本的生存函数和失效率函数估计量的渐近性质

本文研究了可靠性理论中生存函数和失效率函数估计量的一致性。建立了基于广泛正交依赖（简称WOD）样本的生存函数和失效率函数估计量的强一致性和收敛速度。我们在论文中建立的结果概括了独立样本和一些负相关样本的相应结果。